Question

Find the coordinates of the midpoint of a segment with endpoints K(−11, 2) and L(−19, 6) .

Answer 1

The coordinates of the midpoint of a segment with endpoints K(-11, 2) and L(-19, 6) is (-15, 4) using the midpoint formula.

Step-by-step explanation:

To find the coordinates of the midpoint of a segment with endpoints K(-11, 2) and L(-19, 6), we use the midpoint formula:

The midpoint M(x, y) is calculated as:

M(x, y) = ((x1 + x2) / 2, (y1 + y2) / 2)

Substituting the given coordinates:

M(x, y) = ((-11 + (-19)) / 2, (2 + 6) / 2)

M(x, y) = (-30 / 2, 8 / 2)

M(x, y) = (-15, 4)

The midpoint of the segment with endpoints K(-11, 2) and L(-19, 6) is (-15, 4).